Low-energy πN partial wave analysis

Koch, Rainer; Pietarinen, E.

doi:10.1016/0375-9474(80)90214-6

Cited by 364 publications

(226 citation statements)

References 22 publications

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“…The output of the sum rule is particularly sensitive to the precise value of the charged pion-nucleon coupling constant g πN , which is nowadays rather controversial. For the old value of Koch and Pietarinen [21], recently confirmed by the analysis of a new n − p charge-exchange scattering experiment [22], the value of r turns out to be significantly smaller than the standard value r ≃ 26, by at least a factor of 2 [20]. For lower values of g πN the outcome is less conclusive.…”

Section: Introductionmentioning

confidence: 89%

The low energy ππ amplitude to one and two loops

Knecht

Moussallam

Sterna³

et al. 1995

Nuclear Physics B

223

369

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The low-energy ππ amplitude is computed explicitly to two-loop accuracy in the chiral expansion. It depends only on six independent (combinations of) low-energy constants which are not fixed by chiral symmetry. Four of these constants are determined via sum rules which are evaluated using ππ scattering data at higher energies. Dependence of the low-energy phase shifts and of the threshold parameters on the remaining two constants (called α and β) are discussed and compared to the existing data from K l4 experiments. Using generalised χPT, the constants α and β are related to fundamental QCD parameters such as the quark condensate 0|qq|0 and the quark mass ratio m s / m. It is shown that forthcoming accurate low-energy ππ data can be used to provide, for the first time, experimental evidence in favour of or against the existence of a large quarkantiquark condensate in the QCD vacuum.

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Section: Introductionmentioning

confidence: 89%

The low energy ππ amplitude to one and two loops

Knecht

Moussallam

Sterna³

et al. 1995

Nuclear Physics B

223

369

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“…This problem is closely related to the problem of the hadronic bound states, which were discussed above. Two distinct approaches are available in the literature to address the issue in the scattering sector: the dispersion relations approach [11,12], and the potential scattering theory approach (see, e.g. [13][14][15]).…”

Section: Introductionmentioning

confidence: 99%

“…The results obtained within these two approaches are used e.g. in the recent analysis of the low-energy πN scattering data [12,16].…”

Section: Introductionmentioning

confidence: 99%

Hadronic potentials from effective field theories

2002

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We construct the potentials that describe the spectrum and decay of electromagnetic bound states of hadrons, and are consistent with ChPT. These potentials satisfy the matching condition which enables one to express the parameters of the potential through the threshold scattering amplitudes calculated in ChPT. We further analyze the ambiguity in the choice of the shortrange hadronic potentials, which satisfy this matching condition.

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“…This value was obtained by Bugg et al [43] from the analysis of π ± p data in 1973, and confirmed by Koch and Pietarinen [44] in 1980. Around that same time, the neutral-pion coupling constant was determined by Kroll [45] from the analysis of pp data by means of forward dispersion relations; he obtained g 2 π 0 /4π = 14.52 ± 0.40 (equivalent to…”

Section: The πN N Coupling Constantsupporting

confidence: 58%

9. The nucleon-nucleon interaction

Brown¹,

Jackson²

Models of Hadron Structure Based on Quantum Chromodynamics

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Abstract. We review the major progress of the past decade concerning our understanding of the nucleon-nucleon interaction. The focus is on the low-energy region (below pion production threshold), but a brief outlook towards higher energies is also given. The items discussed include charge-dependence, the precise value of the πN N coupling constant, phase shift analysis and high-precision NN data and potentials. We also address the issue of a proper theory of nuclear forces. Finally, we summarize the essential open questions that future research should be devoted to.

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Low-energy πN partial wave analysis

Cited by 364 publications

References 22 publications

The low energy ππ amplitude to one and two loops

The low energy ππ amplitude to one and two loops

Hadronic potentials from effective field theories

9. The nucleon-nucleon interaction

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